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Finding the Fourth Proportional to 419,166.89, 578,453.01 and 228,180.23

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Solution

The fourth proportional to 419,166.89, 578,453.01 and 228,180.23 is: 314,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,166.89 : 578,453.01 = 228,180.23 : x
  2. Step 2: Convert to fraction form
    419,166.89/578,453.01 = 228,180.23/x
  3. Step 3: Cross multiply
    419,166.89x = 578,453.01 × 228,180.23
  4. Step 4: Simplify right side
    419,166.89x = 131,991,540,865.99
  5. Step 5: Solve for x
    x = 131,991,540,865.99/419,166.89
  6. Step 6: Final answer
    x = 314,890.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.